Mark, this particular Oly lens you have used in the past few videos on the E2 camera has two outstanding aspects when mounted on my Olympus OMD EM1 Mk2. Fast, totally silent, and smooth transitioning AF and either rock solid or floating smooth stabilization depending on your shooting style in tandem with the sensor stabilization on that camera. The combo is I think at least a step above anything even the already good Panasonic GH5 paired with some Panasonic stabilized lenses from my experience.
I have seen some YouTube videos from people using the Blackmagic 4K M4/3 with this lens and noticed a far less stable footage in all of those video and am wondering how well both the AF and stabilization system work on other independent brand M4/3 mount cameras such as the E2. Since the E2 has neither the PDAF nor sensor stabilization I understand the results have to be different from if it had them but the more important thing to know is how well, or how flexible the camera's firmware, is in harnessing those useful built-in features in different lenses.
Meanwhile, optically speaking I think this lens is great. The range is excellent and the IQ at both ends looked great to me. Couldn't find faults with it actually except being a little too heavy and large on most compact Olympus bodies. I have used one for a while on loan but do not own one as I prefer faster, smaller and lighter (here I mean really small and light), not to say cheaper primes on the small EM1 body.